TSTP Solution File: GEO498+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0kyC9xGr5G true

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:58:54 EDT 2023

% Result   : Theorem 0.55s 0.77s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (  10 unt;   5 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (   6   ~;   4   |;   0   &;  28   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(s_type,type,
    s: $i > $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(aSatz7_8,conjecture,
    ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
      ( ( Xp = Xq )
      | ( ( s @ Xa @ Xq )
       != Xr )
      | ( ( s @ Xa @ Xp )
       != Xr ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
        ( ( Xp = Xq )
        | ( ( s @ Xa @ Xq )
         != Xr )
        | ( ( s @ Xa @ Xp )
         != Xr ) ),
    inference('cnf.neg',[status(esa)],[aSatz7_8]) ).

thf(zip_derived_cl11,plain,
    ( ( s @ sk_ @ sk__3 )
    = sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aSatz7_7,axiom,
    ! [Xa: $i,Xp: $i] :
      ( ( s @ Xa @ ( s @ Xa @ Xp ) )
      = Xp ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(zip_derived_cl52,plain,
    ( ( s @ sk_ @ sk__2 )
    = sk__3 ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ( ( s @ sk_ @ sk__1 )
    = sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ X1 @ ( s @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[aSatz7_7]) ).

thf(zip_derived_cl51,plain,
    ( ( s @ sk_ @ sk__2 )
    = sk__1 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).

thf(zip_derived_cl55,plain,
    sk__1 = sk__3,
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl51]) ).

thf(zip_derived_cl10,plain,
    sk__1 != sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl55,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0kyC9xGr5G true
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 23:00:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77  % Solved by fo/fo3_bce.sh.
% 0.55/0.77  % BCE start: 13
% 0.55/0.77  % BCE eliminated: 0
% 0.55/0.77  % PE start: 13
% 0.55/0.77  logic: eq
% 0.55/0.77  % PE eliminated: 3
% 0.55/0.77  % done 6 iterations in 0.012s
% 0.55/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.77  % SZS output start Refutation
% See solution above
% 0.55/0.77  
% 0.55/0.77  
% 0.55/0.77  % Terminating...
% 1.65/0.86  % Runner terminated.
% 1.65/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------